This project seeks to estimate sport fish harvest and releases of rockfish in Alaska waters by improving on the Howard et al. (2020) methods and expand the time series back to 1977 when the statewide harvest survey (SWHS) was first implemented. This is essentially a Bayesian version of the Howard methods that allows for more appropriate and defensible sharing of information between areas, handles missing data in a more appropriate manor, accurately propagates uncertainty throughout the estimation procedure and replaces the Howard decision tree approach to low sample sizes with a hierarchical model. The methods and results for generating harvest estimates are generally consistent between the Bayesian model and the Howard methods. Harvest estimates are consistent with Howard estimates during contemporary times, but may differ based on more appropriate weighting of SWHS and logbook data, including estimating and correcting bias in the SWHS data.

Table 1. Summary of key improvements in reconstructiing sport fish removals of rockfish using the Bayesian model as compared to the Howard et al. (2020) methods.
Issue Howard Bayes
Time series 1999 - present 1977 - present
Bias in SWHS Not explicitly dealt with. Relies on logbook data and ratios of guided/unguided from SWHS data to estimate unguided releases and harvests. Explicitly estimates bias in SWHS harvest and release estimates based on logbook data.
Species composition of releases Assumes that species composition of releases is equal to that of the harvest, which is not evident in the logbook data. Recognizes different release probabilities by species / species assemblage and estimates it from logbook data and bias corrected SWHS data
Sample size limitations Uses sample size threshholds such that when areas fall below those threshholds values are borrowed from nearby areas. Uses a hierarchichacal modelling approach that shares information between areas in the same region. Thus all data is used, even with small sample sizes. This is a more sound method that avoids assumptions and uses all of the data.
Error propogation Error is propogated when variance estimates are available, but there is uncertainty associated with borrowing values from nearby areas, or the assumption of species compositions being identical in harvest and releases, are not dealt with. By breaking the assumption that species composition is equal between harvests and releases, uncertainty in the release estimates is more reflective of the fishery. Furthermore, the hyerarchichal approach more accurately captures uncertainy within and between areas within a region.
**Figure 1.**- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.

Figure 1.- Data sources for estimating rockfish harvests and releases in ADF&G commercial fisheries management units. Note that initial rockfish harvest estimates were not differentiated into species assemblage or species until 1998 when logbooks began differentiating by pelagic and non-pelagic. Logbooks began to collect data on yelloweye beginning in 2006. Port sampling programs to gather data on species composition of harvests began in 1996 in Southcentral and Kodiak and in 2006 in Southeast.


**Figure 2.**- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).

Figure 2.- SWHS harvest (left) and release (right) estimates from guided trips (x-axis) versus repoted harvests from charter logbooks (y-axis).


Results

**Figure X.**- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Figure X.- Rhat values and proportion of parameters that converged (Rhat < 1.1.)

Estimate comparison

Since previous estimates of rockfish harvest have been produced these first 3 graphs will be used to show how the modeled estimates compare to the estimates produced earlier. For total rockfish the estimates are in general agreement although differences are noted. These estimates should be more reliable because they include both SWHS and guide logbook data, handle variance more appropriately, use hierarchical distributions when data is missing, directly consider observation error and are produced using reproducible research.

**Figure 3.**- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 3.**- Total rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 3.- Total rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


Notes from Adam: When looking at only black rockfish the most significant differences are for the Prince William Sound Inside area. I did not spend a great deal of time tracking this down although it looks like the previous version used bad values for \(P_{(black)ayu}\) for at least unguided anglers. For the moment I would ignore the results for BSIA and SOKO2SAP. I think it is possible to give approximate values for these areas but it will require a little more coding which I have yet to do.

**Figure 4.**- Black rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 4.- Black rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.


And black rockfish releases…

**Figure 5.**- Black rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 5.- Black rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 6.**- Yellow rockfish harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 6.- Yellow rockfish harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 7.**- Yellow rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 7.- Yellow rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.





**Figure 8.**- DSR rockfish (excluding yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 8.- DSR rockfish (excluding yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 9.**- DSR rockfish releases (including yelloweye) 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 9.- DSR rockfish releases (including yelloweye) 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 11.**- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 11.- Slope rockfish harvests 1996-2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 12.**- Slope rockfish releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 12.- Slope rockfish releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

**Figure 13.**- *Other* rockfish (non-pelagic and non-yelloweye) harvests 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 13.- Other rockfish (non-pelagic and non-yelloweye) harvests 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



**Figure 14.**- *Other* rockfish (non-pelagic and non-yelloweye) releases 1996--2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.

Figure 14.- Other rockfish (non-pelagic and non-yelloweye) releases 1996–2023. Lines and error polygons represent model estimates and points and error bars represent Howard et al estimates.



Total Biomass Removal Estimates

**Figure 15.**- Black rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 15.- Black rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.



**Figure 16.**- Yellow rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 16.- Yellow rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

**Figure 17.**- Pelagic rockfish estimated total removals in lbs in 1996--2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 17.- Pelagic rockfish estimated total removals in lbs in 1996–2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 18.**- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 18.- Non-yelloweye, demersal shelf rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


**Figure 19.**- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.

Figure 19.- Slope rockfish estimated total removals in lbs in 1996-2023. Total removals are calculated from the harvests, the estimated release mortality and mean fish weights. Error polygons represent 95% confidence intervals.


Model fit

Logbook residuals

**Figure 20.**- Residuals from logbook harvests.

Figure 20.- Residuals from logbook harvests.


SWHS residuals

**Figure 21.**- Residuals from SWHS harvests.

Figure 21.- Residuals from SWHS harvests.



**Figure 22.**- Residual of SWHS releases.

Figure 22.- Residual of SWHS releases.

Parameter estimates

P(Charter)

These histograms show the posterior distribution of the mean percent of rockfish harvested by the charter fleet.

**Figure 23.**- Mean percent of harvest by charter anglers.

Figure 23.- Mean percent of harvest by charter anglers.


When considered annually we see the percent of rockfish harvested by the charter fleet follows our data fairly well although the model smooths out the changes and we just do not have much information about this ratio. Prior to 2011 the percent charter is confounded with SWHS bias and should be mostly discounted.

**Figure 24.**- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

Figure 24.- Annual estimates of the percent of harvest by charter anglers for 16 commerical fishing manamgent areas, 1996-2023.

P(Harvest)

These plots show the fitted logistic line to the proportion of caught rockfish that are harvested. These estimates are used for hindcasting catch estimates based on the harvest data in early years when catch estimates are unavailable.


**Figure 25.**- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 25.- Annual proportion of pelagic rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 26.**- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.

Figure 26.- Annual proportion of yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available.


**Figure 27.**- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.

Figure 27.- Annual proportion of non-pelagic, non-yelloweye rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note, that this is not estimated for Southeast areas because non=pelagics are divided between DSR (including yelloweye) and Slope species.


**Figure 28.**- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 28.- Annual proportion of DSR rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.


**Figure 29.**- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

Figure 29.- Annual proportion of Slope rockfish catch that was harvested. Note that pre-1990 estimates are used to estimate catch in these years when catch estimates are not available. Note that the observed logbook data is for all non-pelagic, non-yelloweye fish.

SWHS bias

Figure 23 shows the mean estimate for SWHS bias in harvests and releases. Cook Inlet, North Gulf Coast and North Southeast Inside all look pretty good while most other areas have substantial bias. Prince William Sound Inside has the largest bias. Bias in release estimates is substantial and whereas the SWHS appears to underestimate harvests, it appears to greatly overestimates releases by a factor of 2 or more in most areas as derived from logbook reported releases.

**Figure 30.**- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 30.- Mean SWHS bias for harvests and catches. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.


Our estimates of SWHS harvest bias track observations fairly well when he have guided harvest estimates. The estimates of release bias in the SWHS data track observed patterns to an extent, but appear to smooth these more volatile disagreements with the logbook data. Adam postulated in his initial start on this that some of this could be the result of the estimates of the proportion guided. This value was not modelled with a trend and thus applies a constant estimate when hindcasting. Data on these relationships could greatly improve this model.

**Figure 31.**- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS *underestimates* the true value and bias > 1 indicates the survey *overestimates* the true value.

Figure 31.- Annual estimates of SWHS bias in harvests and releases for 16 commerical fishing manamgent areas, 1996-2023. Note that a bias < 1 indicates that the SWHS underestimates the true value and bias > 1 indicates the survey overestimates the true value.

P(pelagic)

We model the percentage of pelagic rockfish in the harvest because we have the information for charter anglers (via logbooks) starting in 1998. Other than looking at the model estimates you can use Figure 25 to compare the two data streams for pelagic rockfish harvest. In general they are in agreement with major exceptions in Price William Sound inside, Prince William Sound outside (early in the time series) and South Southeast inside.

**Figure 32.**- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

Figure 32.- Annual estimates of the percent of the sport harvest that was pelagic rockfish for 16 commerical fishing manamgent areas, 1996-2023.

P(black|pelagic)

Note that in Southeast Alaska we only have composition data starting in 2006. Tania dug up old SE data, but it did not provide any useful data for species apportionment. For the most part, P(black|pelagic) is relatively constant across areas, with the exception of Cook Inlet and NSEI in Southeast AK. It may be worth discussing whether the shifts in those areas is a result of improved or changing species identification rather than actual shift in the species composition of the catch.

**Figure 33.**- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

Figure 33.- Annual estimates of the percent of the sport harvest of pelagic rockfish that were black rockfish for 16 commerical fishing manamgent areas, 1996-2023. Kodiak panels include data from a hydroacoustic survey and the proportion of pelagic rockfish that are black in those areas (red) and the adjusted proportions based on obseved harvests for charter (blue) and private (cyan) users.

P(yelloweye|non-pelagic / yelloweye|DSR)

**Figure 34.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 34.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were yelloweye rockfish for 16 commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

P(DSR|non-pelagic)

**Figure 35.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

Figure 35.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were DSR rockfish for 6 Southeast commerical fishing manamgent areas, 1996-2023.

P(slope|non-pelagic)

**Figure 36.**- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.

Figure 36.- Annual estimates of the percent of the sport harvest of non-pelagic rockfish that were slope rockfish for 6 southeast commerical fishing manamgent areas, 1996-2023. Note that P(yelloweye) is the the proportion relative to non-pelagics for Central and Kodiak areas but is relative to DSR for Southeast areas.



P(slope|non-pelagic & non-yellowye) For release estimates

## NULL



Weight Fits

**Figure 37.**- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 37.- Mean weights of black rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 38.**- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 38.- Mean weights of yelloweye rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 39.**- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 39.- Mean weights of non-black, pelagic rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 40.**- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 40.- Mean weights of non-yelloweye, demersal shelf rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


**Figure 41.**- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.

Figure 41.- Mean weights of slope rockfish used to estimate biomass from harvest and release mortality estimates in numbers of fish.


Summary of unconverged parameters:

The proportion of unconverged species composition proportional estimates that are near the bounds of 0 or 1 is 0.954023

The proportion of unconverged true parameters (defined as Rhat > 1.01) that are also in excess of an Rhat of 1.1 is 0.05 while 0.95 are less than 1.1.

Table Xa. Species proportion derived quantities that are not with 0.05 of the 0 and 1 bounds and are not converged relative to an Rhat of 1.01.

variable

area_n

year

user

mean

median

lower

upper

Rhat

sd

skew

area

p_slope

11

2

2

0.095

0.072

0.014

0.309

1.011

0.080

0.287

CSEO

p_pelagic

13

19

2

0.166

0.152

0.058

0.350

1.010

0.076

0.185

NSEI

p_pelagic

13

9

1

0.352

0.338

0.134

0.642

1.011

0.134

0.105

NSEI

p_black

8

40

1

0.436

0.409

0.337

0.931

1.015

0.122

0.221

afognak

Table Xb. True parameters with an Rhat in excess of 1.1

variable

area_n

year/species

mean

median

lower

upper

Rhat

sd

skew

year

area

beta2_pelagic

13

0.209

0.161

0.102

0.595

1.173

0.235

0.204

NSEI

beta4_pelagic

7

1.468

0.923

-6.066

13.503

1.104

7.164

0.076

WKMA

beta2_pH

9

3

0.193

0.163

0.080

0.454

1.154

0.181

0.166

eastside

lambda_H

15

0.019

0.014

0.003

0.058

1.216

0.039

0.128

SSEI

Table Xc. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.01.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.01

193.00

176.00

731.00

333.00

Prop. of total

0.52

0.48

0.69

0.31

Prop. median less than 1

0.67

0.30

0.39

0.41

Prop. median less than 10

0.86

0.68

0.61

0.77

Prop. median less than 50

0.93

0.86

0.76

0.84

Median of the median values

0.22

4.34

2.91

1.87

Mean of the median values

20.34

56.08

125.38

93.56

Mean skew of posteriors

0.28

0.29

0.27

0.25

Table Xd. Summary statistics describing the characteristics of the derived harvest and release estimates that are not converged relative to an Rhat of 1.1.

Statistic

non.BSAI.SOKO.Harv

BSAI.SOKO.Harv

non.BSAI.SOKO.Rel

BSAI.SOKO.Rel

n unconverged at Rhat = 1.1

7.00

2.00

34.00

28.00

Prop. of total

0.78

0.22

0.55

0.45

Prop. median less than 1

1.00

0.50

0.74

0.64

Prop. median less than 10

1.00

1.00

0.91

0.86

Prop. median less than 50

1.00

1.00

0.94

0.86

Median of the median values

0.00

3.97

0.01

0.32

Mean of the median values

0.01

3.97

19.93

37.91

Mean skew of posteriors

0.12

0.16

0.15

0.18

Table Xe. All parameters and derived quantities that are not converged relative to an Rhat of 1.1.

variable

Freq

beta2_pelagic

1

beta2_pH

1

Ho_ay

1

Ho_ayu

5

Hs_ayu

3

Hy_ay

1

Hy_ayu

1

lambda_H

1

p_slope

3

R_ayg

2

R_ayu

3

Rb_ayg

2

Rd_ay

1

Rd_ayg

1

Rd_ayu

4

Ro_ay

7

Ro_ayg

1

Ro_ayu

19

Rp_ayg

2

Rs_ayg

2

Rs_ayu

7

Ry_ay

13

Ry_ayg

5

Ry_ayu

25

Parameter estimates:

Summary Table of Parameter Estimates
Parameter mean sd Lower_CI Median Upper_CI
mu_bc_H[1] -0.016 0.069 -0.144 -0.019 0.127
mu_bc_H[2] 0.075 0.055 -0.026 0.072 0.187
mu_bc_H[3] -0.271 0.068 -0.400 -0.271 -0.130
mu_bc_H[4] -0.922 0.179 -1.291 -0.916 -0.576
mu_bc_H[5] 1.355 1.120 0.085 1.090 4.287
mu_bc_H[6] -2.385 0.327 -2.997 -2.390 -1.732
mu_bc_H[7] -0.456 0.101 -0.658 -0.451 -0.264
mu_bc_H[8] 0.269 0.354 -0.325 0.238 1.073
mu_bc_H[9] -0.243 0.126 -0.482 -0.245 0.007
mu_bc_H[10] 0.056 0.065 -0.065 0.054 0.188
mu_bc_H[11] -0.123 0.037 -0.197 -0.123 -0.049
mu_bc_H[12] -0.252 0.105 -0.480 -0.248 -0.048
mu_bc_H[13] -0.148 0.074 -0.287 -0.150 0.003
mu_bc_H[14] -0.300 0.087 -0.474 -0.298 -0.137
mu_bc_H[15] -0.328 0.046 -0.419 -0.327 -0.238
mu_bc_H[16] -0.200 0.365 -0.811 -0.233 0.569
mu_bc_R[1] 1.042 0.123 0.803 1.041 1.284
mu_bc_R[2] 1.014 0.077 0.847 1.016 1.156
mu_bc_R[3] 0.224 0.089 0.039 0.226 0.397
mu_bc_R[4] 0.671 0.200 0.258 0.676 1.063
mu_bc_R[5] 1.676 0.364 0.948 1.674 2.401
mu_bc_R[6] -1.432 0.343 -2.082 -1.437 -0.768
mu_bc_R[7] 0.516 0.166 0.178 0.519 0.830
mu_bc_R[8] 0.645 0.148 0.366 0.642 0.941
mu_bc_R[9] 0.383 0.171 0.029 0.392 0.700
mu_bc_R[10] 0.892 0.102 0.696 0.892 1.092
mu_bc_R[11] 1.104 0.075 0.959 1.103 1.251
mu_bc_R[12] 0.891 0.159 0.582 0.890 1.202
mu_bc_R[13] 1.058 0.092 0.871 1.059 1.234
mu_bc_R[14] 0.847 0.126 0.589 0.848 1.095
mu_bc_R[15] 0.731 0.096 0.539 0.733 0.919
mu_bc_R[16] 1.302 0.108 1.093 1.304 1.514
tau_pH[1] 2.455 0.183 2.115 2.454 2.827
tau_pH[2] 1.566 0.149 1.292 1.557 1.875
tau_pH[3] 2.278 0.296 1.756 2.260 2.907
tau_pH[4] 1.052 0.143 0.803 1.042 1.356
tau_pH[5] 1.022 0.155 0.750 1.014 1.359
beta0_pH[1,1] 0.552 0.180 0.179 0.560 0.880
beta0_pH[2,1] 1.437 0.167 1.082 1.442 1.744
beta0_pH[3,1] 1.392 0.242 0.803 1.421 1.766
beta0_pH[4,1] 1.557 0.246 0.997 1.578 1.960
beta0_pH[5,1] -0.822 0.406 -1.815 -0.777 -0.151
beta0_pH[6,1] -0.659 0.553 -2.115 -0.504 0.030
beta0_pH[7,1] 0.752 0.010 0.731 0.752 0.772
beta0_pH[8,1] -0.721 0.427 -1.749 -0.657 -0.088
beta0_pH[9,1] -0.333 0.314 -1.048 -0.293 0.192
beta0_pH[10,1] 0.263 0.203 -0.158 0.276 0.621
beta0_pH[11,1] 0.012 0.314 -0.632 0.033 0.575
beta0_pH[12,1] 0.648 0.193 0.226 0.654 1.006
beta0_pH[13,1] -0.634 0.150 -0.948 -0.628 -0.362
beta0_pH[14,1] 0.063 0.171 -0.285 0.069 0.380
beta0_pH[15,1] 0.066 0.196 -0.387 0.086 0.392
beta0_pH[16,1] -0.996 0.211 -1.431 -0.988 -0.602
beta0_pH[1,2] 2.570 0.083 2.412 2.568 2.738
beta0_pH[2,2] 3.078 0.022 3.035 3.079 3.121
beta0_pH[3,2] 3.625 0.042 3.545 3.624 3.709
beta0_pH[4,2] 2.936 0.019 2.898 2.936 2.973
beta0_pH[5,2] 4.527 1.454 2.683 4.262 8.018
beta0_pH[6,2] 3.331 0.158 3.035 3.326 3.646
beta0_pH[7,2] 2.025 0.050 1.927 2.025 2.122
beta0_pH[8,2] 2.823 0.066 2.695 2.821 2.958
beta0_pH[9,2] 3.967 0.207 3.582 3.961 4.389
beta0_pH[10,2] 4.001 0.128 3.767 3.999 4.254
beta0_pH[11,2] 1.889 0.009 1.871 1.888 1.907
beta0_pH[12,2] 1.803 0.068 1.676 1.800 1.941
beta0_pH[13,2] 2.498 0.026 2.448 2.499 2.550
beta0_pH[14,2] 1.804 0.024 1.758 1.804 1.852
beta0_pH[15,2] 2.551 0.017 2.518 2.551 2.583
beta0_pH[16,2] 2.777 0.025 2.729 2.777 2.825
beta0_pH[1,3] 0.688 0.603 -0.961 0.840 1.373
beta0_pH[2,3] 2.126 0.017 2.093 2.126 2.161
beta0_pH[3,3] 2.690 0.024 2.642 2.690 2.736
beta0_pH[4,3] 2.980 0.035 2.912 2.981 3.049
beta0_pH[5,3] 3.872 2.597 1.028 3.152 10.515
beta0_pH[6,3] 1.259 0.334 0.684 1.235 1.991
beta0_pH[7,3] 0.857 0.051 0.761 0.857 0.956
beta0_pH[8,3] 0.286 0.118 0.034 0.294 0.499
beta0_pH[9,3] -2.880 1.095 -5.286 -2.754 -1.015
beta0_pH[10,3] -0.479 0.782 -2.343 -0.398 0.773
beta0_pH[11,3] -0.002 11.376 -22.361 0.069 22.287
beta0_pH[12,3] -0.193 11.343 -23.956 -0.110 22.004
beta0_pH[13,3] -0.040 11.537 -23.476 -0.006 22.767
beta0_pH[14,3] 0.026 11.414 -22.334 0.077 22.385
beta0_pH[15,3] -0.132 11.420 -22.955 -0.048 21.669
beta0_pH[16,3] 0.012 11.572 -23.504 0.156 22.236
beta0_pH[11,4] 1.526 0.737 -0.168 1.593 2.761
beta0_pH[12,4] 1.411 1.085 -1.222 1.456 3.478
beta0_pH[13,4] 1.883 0.805 0.076 1.980 3.228
beta0_pH[14,4] 0.694 0.655 -0.879 0.767 1.710
beta0_pH[15,4] 0.586 0.852 -1.681 0.806 1.584
beta0_pH[16,4] 1.254 0.831 -0.686 1.337 2.692
beta0_pH[11,5] 1.287 0.108 1.108 1.277 1.530
beta0_pH[12,5] -2.316 0.420 -3.248 -2.283 -1.604
beta0_pH[13,5] 0.761 0.055 0.664 0.758 0.880
beta0_pH[14,5] 0.617 0.230 0.179 0.607 1.077
beta0_pH[15,5] 2.238 0.420 1.584 2.158 3.254
beta0_pH[16,5] -0.768 0.067 -0.893 -0.771 -0.632
beta1_pH[1,1] 2.574 0.485 1.798 2.516 3.744
beta1_pH[2,1] 1.577 0.318 1.004 1.569 2.214
beta1_pH[3,1] 1.799 0.432 1.151 1.740 2.922
beta1_pH[4,1] 1.933 0.482 1.223 1.857 3.224
beta1_pH[5,1] 2.355 0.528 1.491 2.297 3.675
beta1_pH[6,1] 2.351 0.902 1.129 2.131 4.526
beta1_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,1] 2.699 1.074 1.281 2.425 5.370
beta1_pH[9,1] 2.154 0.738 1.243 1.989 4.286
beta1_pH[10,1] 2.206 0.476 1.500 2.141 3.343
beta1_pH[11,1] 3.452 0.530 2.586 3.383 4.649
beta1_pH[12,1] 2.873 0.289 2.315 2.868 3.468
beta1_pH[13,1] 3.429 0.251 2.967 3.423 3.942
beta1_pH[14,1] 2.783 0.318 2.216 2.762 3.438
beta1_pH[15,1] 2.390 0.282 1.891 2.370 2.989
beta1_pH[16,1] 4.186 0.297 3.613 4.182 4.771
beta1_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta1_pH[1,3] 3.399 1.660 1.207 2.900 7.338
beta1_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[8,3] 4.767 2.234 2.216 4.040 10.844
beta1_pH[9,3] 8.451 2.645 4.147 8.027 14.126
beta1_pH[10,3] 6.372 2.619 2.721 5.753 12.381
beta1_pH[11,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,3] 0.000 0.000 0.000 0.000 0.000
beta1_pH[11,4] 1.984 0.800 0.519 1.941 3.675
beta1_pH[12,4] 3.971 1.112 1.979 3.885 6.656
beta1_pH[13,4] 2.521 0.823 1.100 2.449 4.355
beta1_pH[14,4] 2.711 0.722 1.518 2.649 4.413
beta1_pH[15,4] 1.171 0.890 0.120 0.961 3.470
beta1_pH[16,4] 3.797 0.889 2.218 3.710 5.777
beta1_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta1_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,1] 1.262 0.864 0.328 0.936 3.374
beta2_pH[2,1] 1.666 0.974 0.322 1.462 3.438
beta2_pH[3,1] 1.365 0.849 0.208 1.204 2.948
beta2_pH[4,1] 1.128 0.798 0.202 0.854 2.916
beta2_pH[5,1] 2.019 1.753 0.244 1.531 7.101
beta2_pH[6,1] 0.826 1.352 0.102 0.331 5.050
beta2_pH[7,1] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,1] 0.654 1.138 0.103 0.295 4.794
beta2_pH[9,1] 0.884 1.223 0.145 0.488 4.849
beta2_pH[10,1] 1.218 1.287 0.233 0.802 5.236
beta2_pH[11,1] 0.385 0.199 0.180 0.338 0.905
beta2_pH[12,1] 1.606 0.802 0.630 1.361 3.623
beta2_pH[13,1] 1.022 0.443 0.536 0.910 2.211
beta2_pH[14,1] 1.171 0.704 0.448 0.955 3.374
beta2_pH[15,1] 1.053 0.613 0.370 0.891 2.893
beta2_pH[16,1] 1.060 0.354 0.618 0.992 1.913
beta2_pH[1,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[2,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[9,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[10,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[11,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,2] 0.000 0.000 0.000 0.000 0.000
beta2_pH[1,3] 2.357 4.179 0.112 0.506 15.981
beta2_pH[2,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[3,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[4,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[5,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[6,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[7,3] 0.000 0.000 0.000 0.000 0.000
beta2_pH[8,3] 2.564 2.069 0.571 1.722 8.015
beta2_pH[9,3] 0.193 0.181 0.080 0.163 0.454
beta2_pH[10,3] 0.421 0.632 0.106 0.264 1.940
beta2_pH[11,3] -8.272 5.895 -22.944 -7.035 -0.501
beta2_pH[12,3] -8.266 6.035 -23.103 -6.856 -0.407
beta2_pH[13,3] -8.295 5.971 -22.924 -7.023 -0.442
beta2_pH[14,3] -8.268 5.988 -22.744 -6.964 -0.401
beta2_pH[15,3] -8.444 5.980 -23.134 -7.262 -0.460
beta2_pH[16,3] -8.278 5.994 -22.957 -7.046 -0.469
beta2_pH[11,4] -4.888 4.029 -15.629 -3.601 -0.628
beta2_pH[12,4] -5.316 4.060 -15.828 -4.137 -0.896
beta2_pH[13,4] -4.538 3.916 -15.205 -3.115 -0.691
beta2_pH[14,4] -4.798 4.036 -16.094 -3.386 -0.828
beta2_pH[15,4] -5.084 4.020 -15.634 -3.859 -0.756
beta2_pH[16,4] -5.083 3.756 -15.650 -3.850 -1.218
beta2_pH[11,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[12,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[13,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[14,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[15,5] 0.000 0.000 0.000 0.000 0.000
beta2_pH[16,5] 0.000 0.000 0.000 0.000 0.000
beta3_pH[1,1] 34.958 1.109 32.887 34.941 37.380
beta3_pH[2,1] 32.798 1.360 30.276 32.731 35.705
beta3_pH[3,1] 32.973 1.469 30.100 32.963 36.071
beta3_pH[4,1] 32.641 1.875 29.498 32.534 36.779
beta3_pH[5,1] 27.639 1.230 25.916 27.471 31.059
beta3_pH[6,1] 32.921 3.625 25.242 32.894 40.767
beta3_pH[7,1] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,1] 35.547 3.863 28.185 35.740 42.828
beta3_pH[9,1] 32.620 3.115 27.805 32.036 40.517
beta3_pH[10,1] 32.702 1.453 30.274 32.591 35.815
beta3_pH[11,1] 31.242 1.208 29.227 31.182 33.780
beta3_pH[12,1] 30.795 0.471 29.815 30.816 31.695
beta3_pH[13,1] 31.422 0.557 30.380 31.398 32.567
beta3_pH[14,1] 32.539 0.759 31.262 32.489 34.103
beta3_pH[15,1] 30.943 0.739 29.448 30.983 32.353
beta3_pH[16,1] 30.072 0.343 29.380 30.070 30.742
beta3_pH[1,2] 34.497 5.471 25.488 34.561 43.441
beta3_pH[2,2] 34.471 5.466 25.511 34.468 43.559
beta3_pH[3,2] 30.640 7.285 18.788 30.469 42.389
beta3_pH[4,2] 30.460 7.249 18.571 30.400 42.393
beta3_pH[5,2] 30.316 7.329 18.530 30.348 42.473
beta3_pH[6,2] 30.204 7.190 18.597 30.085 42.334
beta3_pH[7,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[9,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[10,2] 25.000 0.000 25.000 25.000 25.000
beta3_pH[11,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[12,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[13,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[14,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[15,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[16,2] 24.000 0.000 24.000 24.000 24.000
beta3_pH[1,3] 39.694 2.610 33.431 40.135 43.665
beta3_pH[2,3] 34.433 5.504 25.400 34.310 43.550
beta3_pH[3,3] 30.638 7.154 18.597 30.724 42.422
beta3_pH[4,3] 30.387 7.254 18.644 30.317 42.489
beta3_pH[5,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[6,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[7,3] 25.000 0.000 25.000 25.000 25.000
beta3_pH[8,3] 42.108 0.800 41.050 41.843 43.842
beta3_pH[9,3] 35.901 1.656 34.524 35.260 40.845
beta3_pH[10,3] 37.821 2.479 34.684 37.109 43.385
beta3_pH[11,3] 38.518 2.613 34.234 38.555 42.763
beta3_pH[12,3] 38.506 2.599 34.241 38.482 42.787
beta3_pH[13,3] 38.519 2.586 34.265 38.560 42.767
beta3_pH[14,3] 38.542 2.601 34.252 38.634 42.780
beta3_pH[15,3] 38.380 2.571 34.224 38.362 42.718
beta3_pH[16,3] 38.515 2.621 34.236 38.562 42.781
beta3_pH[11,4] 40.598 1.194 38.388 40.475 43.185
beta3_pH[12,4] 42.219 0.682 40.443 42.377 43.087
beta3_pH[13,4] 40.921 0.990 39.106 40.914 42.988
beta3_pH[14,4] 40.202 0.734 38.810 40.163 41.648
beta3_pH[15,4] 41.577 1.519 37.754 41.771 43.824
beta3_pH[16,4] 41.700 0.446 40.800 41.737 42.550
beta3_pH[11,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[12,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[13,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[14,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[15,5] 25.000 0.000 25.000 25.000 25.000
beta3_pH[16,5] 25.000 0.000 25.000 25.000 25.000
beta4_pH[1,1] 0.262 0.021 0.223 0.262 0.303
beta4_pH[2,1] 0.211 0.005 0.200 0.211 0.221
beta4_pH[3,1] 0.173 0.007 0.159 0.173 0.187
beta4_pH[4,1] 0.294 0.011 0.272 0.294 0.317
beta4_pH[5,1] 0.425 0.271 0.100 0.393 0.952
beta4_pH[6,1] 0.797 0.440 0.331 0.756 1.450
beta4_pH[7,1] 0.856 0.351 0.346 0.805 1.682
beta4_pH[8,1] 0.156 0.069 0.044 0.148 0.311
beta4_pH[9,1] 0.215 0.086 0.066 0.209 0.396
beta4_pH[10,1] 0.001 0.001 0.000 0.001 0.003
beta4_pH[11,1] 0.445 0.012 0.423 0.445 0.469
beta4_pH[12,1] 0.643 0.023 0.599 0.643 0.688
beta4_pH[13,1] 0.631 0.013 0.606 0.631 0.658
beta4_pH[14,1] 0.670 0.030 0.612 0.669 0.731
beta4_pH[15,1] 0.797 0.021 0.758 0.796 0.838
beta4_pH[16,1] 1.208 0.041 1.129 1.207 1.290
beta4_pH[1,2] 0.300 0.097 0.124 0.295 0.499
beta4_pH[2,2] 0.514 0.022 0.471 0.513 0.558
beta4_pH[3,2] 0.447 0.012 0.423 0.446 0.470
beta4_pH[4,2] 0.654 0.038 0.580 0.653 0.729
beta4_pH[5,2] 0.730 0.785 0.107 0.531 2.489
beta4_pH[6,2] 0.904 0.786 0.204 0.737 2.606
beta4_pH[7,2] 0.892 0.472 0.331 0.809 1.859
beta4_pH[8,2] 0.846 0.209 0.487 0.831 1.294
beta4_pH[9,2] 1.181 1.198 0.308 0.885 4.038
beta4_pH[10,2] 0.456 0.051 0.359 0.456 0.555
beta4_pH[11,2] 1.270 0.050 1.173 1.269 1.370
beta4_pH[12,2] 0.609 0.112 0.401 0.604 0.839
beta4_pH[13,2] 0.955 0.045 0.867 0.954 1.046
beta4_pH[14,2] 0.938 0.063 0.817 0.937 1.063
beta4_pH[15,2] 1.010 0.026 0.961 1.010 1.063
beta4_pH[16,2] 1.369 0.071 1.236 1.367 1.511
beta4_pH[1,3] 0.243 0.076 0.106 0.239 0.408
beta4_pH[2,3] 0.050 0.017 0.020 0.049 0.085
beta4_pH[3,3] 0.052 0.010 0.034 0.052 0.071
beta4_pH[4,3] 0.166 0.032 0.104 0.165 0.230
beta4_pH[5,3] 0.750 0.833 0.123 0.548 2.479
beta4_pH[6,3] 0.892 0.839 0.198 0.729 2.606
beta4_pH[7,3] 0.876 0.396 0.348 0.807 1.902
beta4_pH[8,3] 0.387 0.183 0.098 0.366 0.814
beta4_pH[9,3] 0.934 0.969 0.151 0.700 2.893
beta4_pH[10,3] 0.056 0.039 0.003 0.050 0.147
beta4_pH[11,3] 0.626 0.275 0.262 0.574 1.320
beta4_pH[12,3] 0.732 0.251 0.368 0.692 1.292
beta4_pH[13,3] 0.809 0.375 0.309 0.738 1.750
beta4_pH[14,3] 0.864 0.221 0.517 0.838 1.361
beta4_pH[15,3] 0.799 0.211 0.463 0.776 1.285
beta4_pH[16,3] 0.826 0.382 0.323 0.758 1.833
beta4_pH[1,4] 0.632 0.367 0.198 0.553 1.498
beta4_pH[2,4] 0.797 0.759 0.109 0.584 2.799
beta4_pH[3,4] 0.880 0.956 0.115 0.608 3.301
beta4_pH[4,4] 0.733 0.493 0.196 0.624 1.877
beta4_pH[5,4] 0.773 0.941 0.109 0.554 2.704
beta4_pH[6,4] 0.906 0.714 0.212 0.754 2.609
beta4_pH[7,4] 0.897 0.439 0.366 0.821 1.922
beta4_pH[8,4] 0.743 0.667 0.146 0.588 2.194
beta4_pH[9,4] 0.766 0.823 0.123 0.561 2.604
beta4_pH[10,4] 1.525 3.181 0.007 0.410 12.554
beta4_pH[11,4] 0.426 0.019 0.392 0.426 0.465
beta4_pH[12,4] 0.534 0.045 0.449 0.533 0.624
beta4_pH[13,4] 0.835 0.034 0.770 0.835 0.901
beta4_pH[14,4] 0.877 0.062 0.759 0.874 1.005
beta4_pH[15,4] 0.616 0.018 0.582 0.616 0.653
beta4_pH[16,4] 0.664 0.044 0.581 0.664 0.753
beta4_pH[1,5] 0.636 0.370 0.188 0.559 1.483
beta4_pH[2,5] 0.817 0.901 0.105 0.576 2.968
beta4_pH[3,5] 0.844 0.907 0.114 0.589 3.102
beta4_pH[4,5] 0.739 0.470 0.205 0.621 1.909
beta4_pH[5,5] 0.752 0.749 0.108 0.569 2.644
beta4_pH[6,5] 0.925 0.821 0.220 0.753 2.714
beta4_pH[7,5] 0.893 0.415 0.345 0.815 1.986
beta4_pH[8,5] 0.738 0.627 0.147 0.586 2.183
beta4_pH[9,5] 0.796 0.954 0.121 0.566 2.974
beta4_pH[10,5] 1.461 3.063 0.007 0.400 11.107
beta4_pH[11,5] 0.311 0.084 0.158 0.308 0.485
beta4_pH[12,5] 0.862 0.279 0.457 0.813 1.521
beta4_pH[13,5] 2.562 0.356 1.897 2.553 3.293
beta4_pH[14,5] 0.846 0.198 0.517 0.828 1.296
beta4_pH[15,5] 0.924 0.078 0.791 0.917 1.100
beta4_pH[16,5] 0.943 0.379 0.384 0.880 1.897
beta0_pelagic[1] 2.268 0.035 2.199 2.267 2.339
beta0_pelagic[2] 1.538 0.007 1.524 1.538 1.552
beta0_pelagic[3] 0.178 0.250 -0.435 0.232 0.545
beta0_pelagic[4] 0.230 0.216 -0.243 0.244 0.623
beta0_pelagic[5] 1.441 0.157 1.145 1.438 1.760
beta0_pelagic[6] 1.356 0.059 1.243 1.355 1.473
beta0_pelagic[7] 1.470 0.039 1.397 1.469 1.546
beta0_pelagic[8] 1.672 0.042 1.591 1.671 1.754
beta0_pelagic[9] 2.776 0.064 2.658 2.774 2.904
beta0_pelagic[10] 2.604 0.031 2.544 2.603 2.668
beta0_pelagic[11] -0.167 0.209 -0.660 -0.137 0.184
beta0_pelagic[12] 1.799 0.036 1.733 1.797 1.872
beta0_pelagic[13] -0.784 0.463 -1.753 -0.756 0.012
beta0_pelagic[14] -0.099 0.211 -0.609 -0.062 0.202
beta0_pelagic[15] -0.201 0.032 -0.283 -0.189 -0.174
beta0_pelagic[16] -0.853 0.305 -1.816 -0.800 -0.472
beta1_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[3] 0.768 0.274 0.335 0.728 1.509
beta1_pelagic[4] 0.817 0.240 0.386 0.802 1.324
beta1_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[11] 1.215 0.290 0.733 1.175 1.932
beta1_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta1_pelagic[13] 2.837 0.863 1.302 2.808 4.556
beta1_pelagic[14] 1.637 0.563 0.830 1.511 2.996
beta1_pelagic[15] 0.077 0.147 0.000 0.011 0.567
beta1_pelagic[16] 2.001 0.443 1.434 1.930 3.302
beta2_pelagic[1] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[2] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[3] 6.140 5.913 0.197 4.450 21.201
beta2_pelagic[4] 7.487 5.911 0.390 6.326 21.603
beta2_pelagic[5] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[6] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[7] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[8] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[9] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[10] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[11] 1.768 1.507 0.255 1.307 5.989
beta2_pelagic[12] 0.000 0.000 0.000 0.000 0.000
beta2_pelagic[13] 0.209 0.235 0.102 0.161 0.595
beta2_pelagic[14] 0.945 1.103 0.154 0.516 4.634
beta2_pelagic[15] 2.687 1.934 0.168 2.308 7.220
beta2_pelagic[16] 1.474 1.167 0.216 1.105 4.753
beta3_pelagic[1] 28.796 3.877 22.352 28.899 35.167
beta3_pelagic[2] 28.772 3.904 22.425 28.799 35.182
beta3_pelagic[3] 27.661 2.688 23.265 27.776 32.252
beta3_pelagic[4] 26.119 1.365 23.332 26.243 28.699
beta3_pelagic[5] 29.534 6.643 18.668 29.390 40.398
beta3_pelagic[6] 29.495 6.662 18.575 29.681 40.403
beta3_pelagic[7] 29.463 6.608 18.545 29.593 40.321
beta3_pelagic[8] 29.578 6.707 18.548 29.630 40.462
beta3_pelagic[9] 29.365 6.678 18.668 29.398 40.549
beta3_pelagic[10] 29.379 6.680 18.577 29.244 40.445
beta3_pelagic[11] 29.981 1.260 27.508 29.969 32.661
beta3_pelagic[12] 30.000 0.000 30.000 30.000 30.000
beta3_pelagic[13] 33.513 2.908 29.220 33.203 39.470
beta3_pelagic[14] 35.411 1.989 31.910 35.157 39.762
beta3_pelagic[15] 33.824 5.841 23.525 34.670 41.689
beta3_pelagic[16] 30.318 0.842 28.396 30.324 31.914
beta0_yellow[1] -0.487 0.028 -0.542 -0.488 -0.433
beta0_yellow[2] 0.285 0.134 -0.153 0.324 0.397
beta0_yellow[3] -0.297 0.080 -0.485 -0.285 -0.187
beta0_yellow[4] 0.649 0.226 -0.021 0.711 0.925
beta0_yellow[5] 0.125 0.325 -0.563 0.140 0.757
beta0_yellow[6] 0.836 0.061 0.717 0.834 0.957
beta0_yellow[7] 1.116 0.031 1.055 1.116 1.177
beta0_yellow[8] 1.050 0.029 0.993 1.050 1.106
beta0_yellow[9] 0.503 0.055 0.399 0.502 0.611
beta0_yellow[10] 0.181 0.027 0.129 0.180 0.234
beta0_yellow[11] -0.168 0.082 -0.370 -0.129 -0.093
beta0_yellow[12] -1.098 0.026 -1.148 -1.098 -1.045
beta0_yellow[13] -1.268 0.153 -1.595 -1.253 -1.047
beta0_yellow[14] -0.295 0.129 -0.563 -0.262 -0.167
beta0_yellow[15] -1.104 0.111 -1.413 -1.060 -1.019
beta0_yellow[16] -0.282 0.012 -0.306 -0.283 -0.259
beta1_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[2] 1.033 0.255 0.662 0.991 1.778
beta1_yellow[3] 0.571 0.156 0.271 0.568 0.887
beta1_yellow[4] 1.277 0.453 0.739 1.156 2.581
beta1_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[11] 0.255 0.342 0.001 0.074 1.125
beta1_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta1_yellow[13] 0.973 0.919 0.023 0.759 3.788
beta1_yellow[14] 0.603 0.830 0.013 0.380 3.231
beta1_yellow[15] 0.181 0.228 0.011 0.086 0.798
beta1_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[1] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[2] -5.126 5.507 -19.806 -2.976 -0.195
beta2_yellow[3] -7.701 5.756 -21.511 -6.321 -0.573
beta2_yellow[4] -4.352 5.551 -19.647 -1.718 -0.134
beta2_yellow[5] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[6] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[7] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[8] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[9] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[10] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[11] -7.814 5.814 -21.835 -6.609 -0.397
beta2_yellow[12] 0.000 0.000 0.000 0.000 0.000
beta2_yellow[13] -6.116 5.337 -19.105 -4.649 -0.311
beta2_yellow[14] -7.043 5.450 -19.771 -5.717 -0.298
beta2_yellow[15] -7.476 5.538 -20.477 -6.305 -0.261
beta2_yellow[16] 0.000 0.000 0.000 0.000 0.000
beta3_yellow[1] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[2] 31.854 0.862 31.020 31.652 33.845
beta3_yellow[3] 32.803 1.447 30.369 32.655 36.094
beta3_yellow[4] 32.893 1.525 30.178 32.880 35.976
beta3_yellow[5] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[6] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[7] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[8] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[9] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[10] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[11] 35.241 3.774 30.388 34.247 43.384
beta3_yellow[12] 25.000 0.000 25.000 25.000 25.000
beta3_yellow[13] 33.822 2.567 29.348 33.835 40.021
beta3_yellow[14] 34.166 3.615 29.268 33.716 43.015
beta3_yellow[15] 36.445 3.884 30.240 36.185 43.526
beta3_yellow[16] 35.000 0.000 35.000 35.000 35.000
beta0_black[1] -0.011 0.070 -0.143 -0.011 0.133
beta0_black[2] 1.853 0.032 1.790 1.853 1.917
beta0_black[3] 1.239 0.037 1.167 1.238 1.314
beta0_black[4] 2.413 0.045 2.329 2.412 2.502
beta0_black[5] 4.915 2.336 1.946 4.356 10.959
beta0_black[6] 4.838 2.181 2.322 4.288 10.824
beta0_black[7] 3.566 2.017 1.356 3.028 9.285
beta0_black[8] 0.705 0.174 0.384 0.701 1.061
beta0_black[9] 2.648 0.231 2.200 2.644 3.114
beta0_black[10] 1.276 0.049 1.180 1.275 1.374
beta0_black[11] 3.388 0.024 3.342 3.387 3.435
beta0_black[12] 4.924 0.099 4.735 4.922 5.125
beta0_black[13] 0.238 0.187 0.008 0.197 0.703
beta0_black[14] 3.004 0.041 2.926 3.002 3.085
beta0_black[15] 1.242 0.026 1.190 1.243 1.293
beta0_black[16] 4.263 0.058 4.151 4.263 4.377
beta2_black[1] 0.000 0.000 0.000 0.000 0.000
beta2_black[2] 0.000 0.000 0.000 0.000 0.000
beta2_black[3] 0.000 0.000 0.000 0.000 0.000
beta2_black[4] 0.000 0.000 0.000 0.000 0.000
beta2_black[5] 0.000 0.000 0.000 0.000 0.000
beta2_black[6] 0.000 0.000 0.000 0.000 0.000
beta2_black[7] 0.000 0.000 0.000 0.000 0.000
beta2_black[8] 0.000 0.000 0.000 0.000 0.000
beta2_black[9] 0.000 0.000 0.000 0.000 0.000
beta2_black[10] 0.000 0.000 0.000 0.000 0.000
beta2_black[11] 0.000 0.000 0.000 0.000 0.000
beta2_black[12] 0.000 0.000 0.000 0.000 0.000
beta2_black[13] -2.564 1.721 -6.828 -2.115 -0.416
beta2_black[14] 0.000 0.000 0.000 0.000 0.000
beta2_black[15] 0.000 0.000 0.000 0.000 0.000
beta2_black[16] 0.000 0.000 0.000 0.000 0.000
beta3_black[1] 25.000 0.000 25.000 25.000 25.000
beta3_black[2] 25.000 0.000 25.000 25.000 25.000
beta3_black[3] 25.000 0.000 25.000 25.000 25.000
beta3_black[4] 25.000 0.000 25.000 25.000 25.000
beta3_black[5] 25.000 0.000 25.000 25.000 25.000
beta3_black[6] 25.000 0.000 25.000 25.000 25.000
beta3_black[7] 25.000 0.000 25.000 25.000 25.000
beta3_black[8] 25.000 0.000 25.000 25.000 25.000
beta3_black[9] 25.000 0.000 25.000 25.000 25.000
beta3_black[10] 25.000 0.000 25.000 25.000 25.000
beta3_black[11] 25.000 0.000 25.000 25.000 25.000
beta3_black[12] 25.000 0.000 25.000 25.000 25.000
beta3_black[13] 38.570 1.461 35.343 38.857 40.343
beta3_black[14] 25.000 0.000 25.000 25.000 25.000
beta3_black[15] 25.000 0.000 25.000 25.000 25.000
beta3_black[16] 25.000 0.000 25.000 25.000 25.000
beta4_black[1] -0.295 0.088 -0.474 -0.294 -0.127
beta4_black[2] 0.256 0.053 0.155 0.255 0.361
beta4_black[3] -0.737 0.061 -0.858 -0.738 -0.617
beta4_black[4] 0.542 0.115 0.320 0.542 0.773
beta4_black[5] 0.682 1.308 -1.223 0.454 3.945
beta4_black[6] 0.779 1.415 -0.759 0.501 3.831
beta4_black[7] 0.630 1.282 -0.906 0.410 3.529
beta4_black[8] 0.084 0.247 -0.406 0.087 0.560
beta4_black[9] 0.939 0.772 -0.100 0.782 2.936
beta4_black[10] 0.084 0.065 -0.043 0.084 0.212
beta4_black[11] -0.703 0.050 -0.802 -0.703 -0.605
beta4_black[12] 0.891 0.237 0.433 0.889 1.360
beta4_black[13] -1.175 0.047 -1.269 -1.174 -1.085
beta4_black[14] -0.061 0.111 -0.275 -0.062 0.156
beta4_black[15] -0.481 0.034 -0.550 -0.481 -0.415
beta4_black[16] -0.599 0.106 -0.802 -0.600 -0.382
beta0_dsr[11] -0.338 0.009 -0.357 -0.338 -0.320
beta0_dsr[12] 1.421 0.044 1.337 1.420 1.509
beta0_dsr[13] 0.143 0.021 0.101 0.143 0.184
beta0_dsr[14] -0.128 0.017 -0.161 -0.128 -0.094
beta0_dsr[15] 0.197 0.014 0.170 0.197 0.223
beta0_dsr[16] 0.208 0.015 0.179 0.208 0.238
beta1_dsr[11] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[12] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[13] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[14] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[15] 0.000 0.000 0.000 0.000 0.000
beta1_dsr[16] 0.000 0.000 0.000 0.000 0.000
beta4_dsr[11] 0.550 0.035 0.480 0.550 0.617
beta4_dsr[12] 0.784 0.231 0.314 0.784 1.222
beta4_dsr[13] -0.080 0.040 -0.156 -0.080 -0.003
beta4_dsr[14] -0.211 0.073 -0.358 -0.212 -0.064
beta4_dsr[15] 0.225 0.021 0.183 0.225 0.266
beta4_dsr[16] -0.099 0.045 -0.186 -0.098 -0.009
beta0_slope[11] -2.198 0.021 -2.239 -2.198 -2.158
beta0_slope[12] -5.158 0.172 -5.482 -5.164 -4.800
beta0_slope[13] -1.473 0.034 -1.539 -1.472 -1.408
beta0_slope[14] -2.685 0.049 -2.781 -2.683 -2.592
beta0_slope[15] -1.590 0.022 -1.634 -1.590 -1.547
beta0_slope[16] -3.013 0.046 -3.109 -3.014 -2.923
beta1_slope[11] 0.000 0.000 0.000 0.000 0.000
beta1_slope[12] 0.000 0.000 0.000 0.000 0.000
beta1_slope[13] 0.000 0.000 0.000 0.000 0.000
beta1_slope[14] 0.000 0.000 0.000 0.000 0.000
beta1_slope[15] 0.000 0.000 0.000 0.000 0.000
beta1_slope[16] 0.000 0.000 0.000 0.000 0.000
beta4_slope[11] -0.344 0.075 -0.495 -0.344 -0.201
beta4_slope[12] -4.244 0.813 -5.984 -4.198 -2.776
beta4_slope[13] 0.305 0.053 0.197 0.305 0.408
beta4_slope[14] -0.184 0.155 -0.483 -0.183 0.117
beta4_slope[15] -0.363 0.034 -0.430 -0.363 -0.298
beta4_slope[16] 0.213 0.106 0.003 0.212 0.418
beta5_slope[11] 3.076 0.108 2.871 3.074 3.297
beta5_slope[12] 1.587 0.407 0.822 1.582 2.411
beta5_slope[13] 0.866 0.080 0.717 0.864 1.026
beta5_slope[14] 3.761 0.367 3.098 3.751 4.515
beta5_slope[15] 1.384 0.073 1.240 1.385 1.529
beta5_slope[16] 2.722 0.233 2.298 2.712 3.200
tau_comp[1] 3.845 0.302 3.290 3.836 4.468
tau_comp[2] 2.884 0.251 2.413 2.871 3.408
tau_comp[3] 1.656 0.133 1.411 1.654 1.930
tau_comp[4] 1.340 0.210 0.971 1.321 1.793
tau_comp[5] 1.209 0.173 0.910 1.198 1.576
sigma_H[1] 0.206 0.049 0.115 0.204 0.305
sigma_H[2] 0.175 0.030 0.123 0.172 0.243
sigma_H[3] 0.187 0.042 0.115 0.184 0.280
sigma_H[4] 0.463 0.079 0.334 0.455 0.640
sigma_H[5] 0.964 0.200 0.597 0.957 1.380
sigma_H[6] 0.542 0.195 0.170 0.530 0.963
sigma_H[7] 0.311 0.063 0.214 0.301 0.456
sigma_H[8] 0.420 0.090 0.277 0.410 0.612
sigma_H[9] 0.512 0.115 0.330 0.497 0.771
sigma_H[10] 0.210 0.040 0.144 0.208 0.299
sigma_H[11] 0.267 0.044 0.192 0.261 0.366
sigma_H[12] 0.384 0.151 0.199 0.337 0.743
sigma_H[13] 0.222 0.037 0.160 0.219 0.303
sigma_H[14] 0.502 0.091 0.349 0.495 0.699
sigma_H[15] 0.226 0.038 0.162 0.222 0.308
sigma_H[16] 0.214 0.042 0.146 0.210 0.305
lambda_H[1] 2.268 3.428 0.069 1.075 11.225
lambda_H[2] 5.127 4.975 0.461 3.680 18.099
lambda_H[3] 5.348 7.938 0.279 2.838 26.489
lambda_H[4] 0.006 0.005 0.001 0.005 0.018
lambda_H[5] 2.605 6.323 0.023 0.677 19.457
lambda_H[6] 6.034 12.906 0.009 0.293 43.045
lambda_H[7] 0.012 0.008 0.002 0.010 0.033
lambda_H[8] 7.880 9.971 0.065 4.448 36.837
lambda_H[9] 0.015 0.010 0.003 0.013 0.040
lambda_H[10] 0.234 0.374 0.029 0.156 0.879
lambda_H[11] 0.227 0.325 0.010 0.105 1.126
lambda_H[12] 3.554 4.675 0.172 2.029 16.581
lambda_H[13] 3.234 3.050 0.279 2.373 11.391
lambda_H[14] 3.381 4.118 0.249 2.127 14.669
lambda_H[15] 0.019 0.039 0.003 0.014 0.058
lambda_H[16] 0.556 0.972 0.031 0.284 2.665
mu_lambda_H[1] 4.050 1.917 1.044 3.845 8.252
mu_lambda_H[2] 3.711 1.917 0.556 3.523 7.748
mu_lambda_H[3] 3.400 1.861 0.696 3.107 7.676
sigma_lambda_H[1] 8.081 4.301 1.634 7.531 17.902
sigma_lambda_H[2] 8.130 4.597 0.970 7.589 18.175
sigma_lambda_H[3] 6.235 4.090 0.915 5.325 16.217
beta_H[1,1] 6.497 1.354 3.290 6.735 8.522
beta_H[2,1] 9.749 0.615 8.438 9.790 10.849
beta_H[3,1] 7.819 0.774 6.039 7.902 9.122
beta_H[4,1] 10.564 7.654 -5.290 10.565 25.511
beta_H[5,1] -0.274 2.652 -5.547 -0.097 4.418
beta_H[6,1] 3.059 4.454 -7.875 4.609 8.175
beta_H[7,1] 1.284 5.681 -11.153 1.660 11.361
beta_H[8,1] 1.386 3.927 -2.499 1.250 3.633
beta_H[9,1] 13.584 5.785 2.490 13.472 25.536
beta_H[10,1] 6.800 1.822 2.937 6.854 10.331
beta_H[11,1] 4.857 3.536 -2.725 5.443 9.913
beta_H[12,1] 2.614 1.139 0.594 2.548 5.030
beta_H[13,1] 9.086 0.842 7.295 9.145 10.511
beta_H[14,1] 2.139 0.985 0.190 2.128 4.162
beta_H[15,1] -7.161 3.315 -13.094 -7.328 -0.257
beta_H[16,1] 3.839 2.959 -0.886 3.403 10.740
beta_H[1,2] 7.787 0.273 7.262 7.789 8.322
beta_H[2,2] 9.886 0.163 9.563 9.888 10.203
beta_H[3,2] 8.801 0.201 8.409 8.797 9.221
beta_H[4,2] 3.023 1.443 0.275 2.970 6.005
beta_H[5,2] 1.751 1.017 -0.215 1.741 3.673
beta_H[6,2] 6.032 1.104 3.643 6.180 7.804
beta_H[7,2] 2.385 1.072 0.476 2.314 4.693
beta_H[8,2] 2.980 1.138 1.138 3.146 4.223
beta_H[9,2] 3.189 1.122 0.942 3.187 5.326
beta_H[10,2] 8.051 0.364 7.292 8.067 8.761
beta_H[11,2] 9.826 0.634 8.859 9.725 11.183
beta_H[12,2] 3.951 0.377 3.235 3.933 4.732
beta_H[13,2] 9.138 0.242 8.691 9.127 9.631
beta_H[14,2] 4.019 0.337 3.364 4.004 4.692
beta_H[15,2] 11.563 0.601 10.295 11.590 12.665
beta_H[16,2] 4.495 0.814 3.005 4.477 6.149
beta_H[1,3] 8.435 0.258 7.959 8.426 8.933
beta_H[2,3] 9.858 0.147 9.572 9.856 10.159
beta_H[3,3] 9.465 0.157 9.160 9.462 9.780
beta_H[4,3] -2.190 0.871 -3.924 -2.172 -0.548
beta_H[5,3] 3.878 0.625 2.615 3.883 5.060
beta_H[6,3] 8.346 1.186 6.665 7.999 10.897
beta_H[7,3] -2.553 0.633 -3.830 -2.541 -1.344
beta_H[8,3] 5.294 0.558 4.674 5.206 6.551
beta_H[9,3] -2.731 0.716 -4.181 -2.718 -1.351
beta_H[10,3] 8.544 0.276 8.011 8.543 9.063
beta_H[11,3] 8.500 0.291 7.895 8.523 9.017
beta_H[12,3] 5.262 0.326 4.497 5.300 5.801
beta_H[13,3] 8.841 0.177 8.475 8.848 9.169
beta_H[14,3] 5.775 0.261 5.174 5.794 6.228
beta_H[15,3] 10.268 0.285 9.736 10.263 10.835
beta_H[16,3] 6.070 0.581 4.854 6.112 7.091
beta_H[1,4] 8.102 0.190 7.695 8.114 8.441
beta_H[2,4] 9.849 0.131 9.584 9.852 10.095
beta_H[3,4] 9.951 0.150 9.628 9.962 10.220
beta_H[4,4] 11.817 0.472 10.865 11.814 12.737
beta_H[5,4] 5.583 0.735 4.367 5.501 7.218
beta_H[6,4] 7.179 0.927 5.247 7.392 8.521
beta_H[7,4] 8.546 0.355 7.862 8.543 9.246
beta_H[8,4] 6.712 0.271 6.166 6.733 7.132
beta_H[9,4] 7.434 0.450 6.554 7.430 8.336
beta_H[10,4] 7.530 0.223 7.125 7.518 7.991
beta_H[11,4] 9.501 0.190 9.125 9.498 9.867
beta_H[12,4] 7.256 0.203 6.866 7.253 7.708
beta_H[13,4] 9.056 0.143 8.767 9.060 9.330
beta_H[14,4] 7.823 0.213 7.407 7.816 8.252
beta_H[15,4] 9.458 0.217 9.023 9.466 9.866
beta_H[16,4] 9.449 0.235 9.008 9.442 9.929
beta_H[1,5] 8.897 0.152 8.587 8.900 9.186
beta_H[2,5] 10.676 0.101 10.490 10.673 10.883
beta_H[3,5] 10.760 0.164 10.464 10.752 11.104
beta_H[4,5] 8.339 0.495 7.366 8.335 9.336
beta_H[5,5] 5.193 0.603 3.813 5.267 6.155
beta_H[6,5] 8.977 0.646 8.001 8.855 10.391
beta_H[7,5] 6.572 0.348 5.909 6.566 7.278
beta_H[8,5] 8.253 0.216 7.910 8.237 8.702
beta_H[9,5] 8.187 0.456 7.255 8.190 9.116
beta_H[10,5] 10.045 0.223 9.599 10.047 10.471
beta_H[11,5] 11.591 0.219 11.161 11.592 12.034
beta_H[12,5] 8.606 0.192 8.227 8.601 8.982
beta_H[13,5] 10.127 0.135 9.879 10.123 10.405
beta_H[14,5] 9.236 0.211 8.847 9.230 9.674
beta_H[15,5] 11.308 0.229 10.854 11.316 11.747
beta_H[16,5] 9.869 0.182 9.505 9.874 10.219
beta_H[1,6] 10.123 0.248 9.741 10.085 10.756
beta_H[2,6] 11.474 0.118 11.246 11.471 11.711
beta_H[3,6] 10.621 0.156 10.298 10.629 10.904
beta_H[4,6] 12.922 0.877 11.171 12.926 14.606
beta_H[5,6] 5.683 0.635 4.572 5.648 7.048
beta_H[6,6] 8.732 0.583 7.444 8.766 9.778
beta_H[7,6] 10.556 0.602 9.361 10.553 11.734
beta_H[8,6] 9.521 0.282 9.007 9.537 9.958
beta_H[9,6] 8.286 0.767 6.822 8.264 9.867
beta_H[10,6] 9.150 0.334 8.456 9.171 9.727
beta_H[11,6] 10.682 0.364 9.887 10.707 11.325
beta_H[12,6] 9.375 0.246 8.904 9.365 9.878
beta_H[13,6] 11.061 0.156 10.766 11.058 11.368
beta_H[14,6] 9.928 0.280 9.378 9.926 10.483
beta_H[15,6] 10.515 0.408 9.716 10.513 11.321
beta_H[16,6] 10.578 0.253 10.027 10.587 11.056
beta_H[1,7] 10.162 1.280 6.695 10.487 11.842
beta_H[2,7] 12.123 0.525 11.005 12.153 13.085
beta_H[3,7] 10.297 0.659 8.895 10.350 11.434
beta_H[4,7] 1.400 4.504 -7.685 1.368 10.501
beta_H[5,7] 5.818 2.087 1.633 5.929 9.867
beta_H[6,7] 7.189 3.182 -0.654 8.261 11.071
beta_H[7,7] 7.621 3.006 1.817 7.549 13.535
beta_H[8,7] 10.887 1.064 9.089 10.859 12.681
beta_H[9,7] 5.034 3.870 -3.022 5.178 12.469
beta_H[10,7] 10.015 1.566 7.221 9.874 13.338
beta_H[11,7] 11.399 1.845 8.161 11.209 15.592
beta_H[12,7] 9.802 0.974 7.644 9.878 11.482
beta_H[13,7] 11.698 0.685 10.093 11.755 12.865
beta_H[14,7] 10.659 0.916 8.838 10.712 12.266
beta_H[15,7] 14.131 2.119 9.859 14.079 18.330
beta_H[16,7] 12.848 1.391 10.494 12.708 15.956
beta0_H[1] 8.920 19.793 -29.129 8.667 50.631
beta0_H[2] 10.561 8.515 -6.026 10.588 27.945
beta0_H[3] 9.701 10.485 -11.737 9.741 29.857
beta0_H[4] 8.432 184.776 -355.897 9.492 387.677
beta0_H[5] 4.137 30.027 -53.062 4.308 62.533
beta0_H[6] 6.788 51.785 -105.195 8.003 112.172
beta0_H[7] 8.078 137.211 -267.298 8.240 291.810
beta0_H[8] 6.647 35.250 -20.534 6.508 31.387
beta0_H[9] 5.509 123.588 -227.939 7.694 248.538
beta0_H[10] 8.247 37.057 -69.208 8.775 83.576
beta0_H[11] 10.539 54.191 -100.605 10.471 117.086
beta0_H[12] 6.772 12.207 -16.835 6.703 30.523
beta0_H[13] 10.242 10.652 -10.425 10.239 29.813
beta0_H[14] 6.693 11.116 -15.034 6.941 30.086
beta0_H[15] 9.062 119.600 -243.900 11.383 242.583
beta0_H[16] 9.497 31.357 -51.344 8.446 72.832